A generalized equilibrium network DEA approach in presence of fixed-sum undesirable output

In this paper, we address the issue of dealing with fixed-sum undesirable outputs in a two-stage data envelopment analysis (DEA) network structure. In this regard, we first introduce models for evaluating the performance of decision-making units (DMUs) in the presence of fixed-sum undesirable outputs, and then we introduce this model for a two-stage network structure. We show that all DMUs are projected on the equilibrium efficiency frontier and will be efficient. We show that the erupted model will always be feasible and that the proposed model can be converted into a linear model. We then illustrate the model with a numerical example and proposed the final results.

کلیدواژه ها:

Network system ، Generalized equilibrium ، efficient frontier ، data envelopment analysis ، fixedsum ، undesirable outputs